Daily Practice · Higher

Daily Practice - Higher

Grades 6-7 - Higher-tier method and manipulation.

12th November 2024

5 questions · 14 marks · Grades 6-7 · 61 question types in this band

1
Similar Shapes (Area and Volume)3 marks
Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 837 cm^3. Work out the volume of the smaller.
2
Probability Trees3 marks
A bag holds 5 red and 2 blue counters. Two are taken without replacement. Work out the probability both are red.
3
Capture Recapture3 marks
55 voles are marked and released. Later 40 are caught, of which 8 are marked. Estimate the population.
4
The Product Rule for Counting3 marks
A code is 2 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
5
Drawing Other Graphs: Cubic/Reciprocal2 marks
For the curve y = -8/x, work out y when x = 1, and write down the equation of its vertical asymptote.

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